vTriangles 1 and 2 are similar. What ratio relates a side length of triangle 1 to the corresponding side length of triangle 2? Fill in the box to complete the ratio.

Answer:

The value of x is 40.

Step-by-step explanation:

These are vertical angles meaning that these are both the same angle. We can express this into an equation. (3x - 6) = 114, usually with an equation like this we add the 6 from (3x - 6) and also add it to 114 because whatever you do to one side of the equation you have to do to the other. Because we added 6 to (3x - 6) the 6 from there is gone and since we added 6 to 114 it is now 120 so now the equation is 3x = 120. Now we divide each side me 3 to get the value of x. 3x divided by 3 is x. 120 divided by 3 is 40. So now our equation looks like this, x=40. So this is how the value of x is 40. Let me know if it's right!!

Set 1 mean - 23.625

Set 2 mean - 23.5

Set 1 median - 23.5

Set 2 median - 22.5

This shows the answer is D :)

Answer:

Step-by-step explanation:

The lower cortile is 19 because that's the lowest number and the medium cortile is 24 because it's in the middle.

Answer:

270°

Step-by-step explanation:

Q: (2,-1) --> (-1,-2)

R: (5,-2) --> (-2,-5)

S: (4,1) --> (1,-4)

In general

(x , y) --> (y, -x)

90° clockwise rotation

270° anti-clockwise rotation

Answer:

The correct answer is 270°

Answer: the answer is C

Step-by-step explanation:

Answer: 64 cups

Step-by-step explanation:

Each gallon has 16 cups so you multiply 16 by 4 because there are 4 gallons and you get 64. Hope that helped. :)

Answer:

The chest is 2 feet deep.

Step-by-step explanation:

Given:

Aponi built a toy chest for her niece. It has a volume of 12 cubic feet, the chest is 3 feet long and 2 feet wide.

Now, to find the depth of it.

Length = 3 feet.

Width = 2 feet.

Volume = 12 cubic feet.

Now, to find the depth by using formula:

[tex]Volume= length\times width\times depth\\\\12=3\times 2\times depth\\\\12=6\times depth\\\\Dividing\ both\ sides\ by\ 6\ we\ get:\\\\2=depth\\\\Depth=2\ feet.[/tex]

Therefore, the chest is 2 feet deep.

Answer: Most planes flew below the optimal cruising speed. There is a cluster at the speeds 0.82 through 0.85. Also, the data is close to being symmetric

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

you times it by itself divide that by two and take the squre root

Answer:

x = 1

Step-by-step explanation:

0.5x-0.3=0.2

1. Multiply both sides by 10.

0.5x*10-0.3*10=0.2*10

2. Refine.

5x-3=2

3. Add 3 to both sides.

5x-3+3=2+3

4. Simplify.

5x=5

5. Divide both sides by 5.

5x/5=5/5

6. Simplify.

x=1

Answer:

Step-by-step explanation:

0.5x  - 0.3 = 0.2

add 0.3 to both the sides

0.5x - 0.3 + 0.3 = 0.2 + 0.3

0.5x + 0 = 0.5

0.5x = 0.5

[tex]x=\frac{0.5}{0.5}\\\\x = 1[/tex]

Answer: 5/6

Step-by-step explanation:

Over 2 there are 4 numbers 3,4,5,6 but it can be odd so also 1 works there are 6 numbers in total and 5 numbers work so

5/6

Answer:

5/6

Step-by-step explanation:

I got 5/6 because every number matches the conditions set except for two. If Glenn rolls a 1, it works because it is an odd number. If Glenn rolls a 2 it doesn't work because it's not an odd number and its not greater than 2. If Glenn rolls a 3 it works because 3 is an odd number and is greater than two, and every number after three will also work, because they are all greater than two. This way, the only number that will not match the conditions is 2, so the answer is 5/6, or 83.(3)%

Answer:

2/7

then 2/14

Step-by-step explanation:

Let P(H)=p be the probability of one head. In many scenarios, this probability is assumed to be p=12 for an unbiased coin. In this instance, P(H)=3P(T) so that p=3(1−p)⟹4p=3 or p=34.

You are interested in the event that out of three coin tosses, at least 2 of them are Heads, or equivalently, at most one of them is tails. So you are interested in finding the likelihood of zero tails, or one tails.

The probability of zero tails would be the case where you only received heads. Since each coin toss is independent, you can multiply these three tosses together: P(H)P(H)P(H)=p3 or in your case, (34)3=2764.

Now we must consider the case where one of your coin flips is a tails. Since you have three flips, you have three independent opportunities for tails. The likelihood of two heads and one tails is 3(p2)(1−p). The reason for the 3 coefficient is the fact that there are three possible events which include two heads and one tails: HHT,HTH,THH. In your case (where the coin is 3 times more likely to have heads): 3(34)2(14)=2764.

Adding those events together you get p3+3(p2)(1−p)=5464. Note that the 3 coefficient

The are of the given heptagon is 243 u³.

In the given polygon,

Number of sides = 7

Hence this is a heptagon, which has,

Length of edge = 9 unit

Polygons are two-dimensional geometric figures with a fixed number of sides. A polygon's sides are made up of straight line segments that are joined end to end. As a result, the line segments of a polygon are referred to as sides or edges.

Since we know that,

Area of heptagon = (7 / 4) × edge² × cot(π/7)

Therefore,

Area of heptagon = (7 / 4) × 9² × cot(π/7)

                              = (7/4) x 81 x 2.07

                              ≈ 243 u³

Hence,

The area is approximately 243 u³

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Answer:

y=3,x=1.3,z=6.2 :)

Step-by-step explanation:

y=3,x=1.3,z=6.2 :)

So, we have:

   : x+y+z=10 [equation 1]

   : 5x+3y=14  [equation 2]

   : x−2y+z=2.5 [equation3]

(I'm going to assume that you know how to solve equations with 2 variables)

1. eliminate a variable to get 2 variables

Let's reverse equation 2:

-x+2y-z= -2.5

and take equation 1, to try to eliminate "z"

x+y+z=10

add up the 2 equations to get:

3y=7.5

and solve to get

y=2.5

2. substitute what we already solved into another equation

Luckily, equation 2 only has 2 variables, and one is y, so we can sub it in.

5x+3y=14 --> 3x+3(7.5)=14

solve to get

x=1.3

3. Substitute both of our variables in to get the final variable: z

Let's take the first equation.

x+y+z=10 --> 1.3+2.5+z=10

solve to get

z=6.2

I hope this helps you!

Step-by-step explanation:

(i) Area of the first cross section

base,b = 8 m, height,h = 10 m

Area of the triangle = [tex]\frac{1}{2}[/tex] bh

area =  [tex]\frac{1}{2}[/tex] (8) (10)

area = 40 m²

(ii) Area of the second cross section

base,b = 12 m, height,h = 10 m

Area of the triangle = [tex]\frac{1}{2}[/tex] bh

area =  [tex]\frac{1}{2}[/tex] (12) (10)

area = 60 m²

Difference in the areas of the cross sections = 60 - 40 = 20 m²

Answer:

A rational number is a number that can be express as the ratio of two integers.

Step-by-step explanation:

A number that cannot be expressed that way is irrational. For example, one third in decimal form is 0.33333333333333 (the threes go on forever).

Answer:

you pay 25, 000 from your own pocket and the insurance pays 50,000

Step-by-step explanation:

pls mark brainliest if this helped u

The x-intercepts of the function are (0,0) and (-2,0). Therefore, options A and C are correct.

To determine the x-intercepts of a function, we need to find the values of x when the function value, f(x), is equal to zero. Therefore, we need to plug in 0 for f(x) and solve for x.

From the given points, we can see that the function passes through the points (-2,0), (0,0), and (1,0), (2,0). Therefore, the x-coordinates of these points are the possible x-intercepts of the function.

Setting f(x) to zero for each of the points, we get:

At (-2,0): f(-2) = 0, so x = -2 is an x-intercept.

At (-1,-2): f(-1) = -2, so x = -1 is not an x-intercept.

At (0,0): f(0) = 0, so x = 0 is an x-intercept.

At (1,0): f(1) = 0, so x = 1 is an x-intercept.

At (2,0): f(2) = 0, so x = 2 is an x-intercept.

Therefore, the x-intercepts of the function are (0,0) and (-2,0).

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Answer:

56π = 175.929, so no.

Step-by-step explanation:

Surface area formula: 2B+Ph (where B is area of the base, P is perimeter of the base, and h is height.)

2(4π) + 4π(12)

8π +48π

56π = 175.9 ft^2

Answer:

the slope that is perpendicular to line y=-7x-12 is 1/7

1/7 is the perpendicular slope

Step-by-step explanation:

Answer:

7 kg

Step-by-step explanation:

16000g = 16kg

9000g = 9kg

16 - 9 = 7kg

Answer:

The mass of the other box=7kg

Step-by-step explanation:

Subtract 16-9, and add 3 zeros or just write kg.

Answer:

[tex]x = \frac{40}{-30\\}[/tex]

Step-by-step explanation:

Lets start by working with our numbers on the right side of the equation.

Begin by using distributive property, turning:

2x = 8(4x - 5) into 2x = 32x - 40

To make things easier, lets subtract 32x on both sides

-30x = 40

Finally, divide by -30 on both sides to get our answered, simplified if necessary:

[tex]x = \frac{40}{-30} = \frac{4}{-3} = -1.33[/tex]

Answer:

Yes, because 3,074.6 rounded would be closest to 3,000

Step-by-step explanation:

San Jose to Denver is 1,281 miles

Denver to Chicago is 1,004.7 miles

Chicago to new york city is 788.9 miles

When added up the total mileage is 3,074.6 miles

Answer:

Yes

Step-by-step explanation:

San Jose to Denver is 1281 miles

Denver to Chicago is 1002 miles

Chicago to New York is 789 miles

1281+1002+789 =3072

3000 miles is a close estimate

Our estimate is within 100 miles so I would say it is close

Final answer:

The product of the provided series of numbers is 0, because multiplying any number by zero will always result in zero.

Explanation:

The product of a series of numbers is the result of multiplying all the numbers together. In this case, you have provided a list of numbers: -3, 4, 2, -5, 3, -2, 1, 0. To find their product, we multiply them one by one.

Multiplying any number by zero results in zero, which is an important mathematical rule. Since one of the numbers in the list is 0, the product of these numbers is 0 regardless of all other numbers.

Answer:

-6

Step-by-step explanation:

-8  - (-2)

A negative negative is a positive

-8+2

-6

Answer:

-6

Step-by-step explanation:

(-8) - (-2)

(-8) + 2 >>because - ( - ) = +

2 - 8

= -6

Hope this helps!

Remember:

- (-) = +

- (+) = -

+ (+) = +

The solutions to the inequality (k - 3)/4 > -2 are k = -1 and k = 0. This is determined by solving the inequality step by step and checking each given value.

To find the solutions, we need to solve the inequality step by step:

Now we find the values from the given options that satisfy k > -5:

Thus, the values that are solutions to the inequality are k = -1 and k = 0.

The complete question is

Which values are solutions to (k - 3)/4 > - 2' Select two options.

k = - 10

k = - 7

k = - 5

k = - 1

k = 0